Solution to the King's problem with observables being not mutually complementary

Details Solution to the King's problem with observables being not mutually complementary Solution to the King's problem with observables being not mutually complementary

2004-10-26

arxiv.org/abs/quant-ph/0410206v2

Phys.Rev. A 71(2005)032337

Physics

Quantum Physics

7 pages

Scientific paper

10.1103/PhysRevA.71.032337

We investigate the King's problem of the measurement of operators $\vec{n}_k \nobreak \cdot \nobreak \vec{\sigma} (k=1,2,3)$ instead of the three Cartesian components $\sigma_x$, $\sigma_y$ and $\sigma_z$ of the spin operator $\vec{\sigma}$. Here, $\vec{n}_k$ are three-dimensional real unit vectors. We show the condition over three vectors $\vec{n}_k$ to ascertain the result for measurement of any one of these operators.

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